z*z-1=0

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Solution for z*z-1=0 equation: 


Simplifying
z * z + -1 = 0

Multiply z * z
z2 + -1 = 0

Reorder the terms:
-1 + z2 = 0

Solving
-1 + z2 = 0

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + z2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + z2 = 0 + 1
z2 = 0 + 1

Combine like terms: 0 + 1 = 1
z2 = 1

Simplifying
z2 = 1

Take the square root of each side:
z = {-1, 1}

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